Paper Abstract and Keywords |
Presentation |
2018-03-08 09:50
Redundancy Analysis of Univarsal Lossless Source Coding via Estimation of Prior
-- Relaxing an Ergodicity Condition -- Ryosuke Ikarashi, Tsutomu Kawabata (UEC) IT2017-105 ISEC2017-93 WBS2017-86 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Bayesian mixture with non-discrete prior has an asymptotic redundancy proportional to the half of log data length, with dimension of the prior as a proportional coefficient. In the case of singular prior, the proportional coefficient can be substituted by the $mathrm{Racute{e}nyi}$ information dimension of the prior. By the way, when we do not assume the knowledge of a prior, the estimation of prior is necessary. For encoding new data, we use the knowledge of a past series of data sequences, each of which is generated by the probability with the parameter output by the system. For this scheme, an asymptotic redundancy of Bayesian mixture with estimated prior is improved depending on the number of samples with some conditions. In this paper, we propose the result with relaxing an ergodicity condition. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
universal soutce coding / redundancy analysis / singular prior / Renyi information dimension / prior estimation / / / |
Reference Info. |
IEICE Tech. Rep., vol. 117, no. 487, IT2017-105, pp. 13-18, March 2018. |
Paper # |
IT2017-105 |
Date of Issue |
2018-03-01 (IT, ISEC, WBS) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
Download PDF |
IT2017-105 ISEC2017-93 WBS2017-86 |
Conference Information |
Committee |
WBS IT ISEC |
Conference Date |
2018-03-08 - 2018-03-09 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Katsusika Campas, Tokyo University of Science |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
joint meeting of IT, ISEC, and WBS |
Paper Information |
Registration To |
IT |
Conference Code |
2018-03-WBS-IT-ISEC |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Redundancy Analysis of Univarsal Lossless Source Coding via Estimation of Prior |
Sub Title (in English) |
Relaxing an Ergodicity Condition |
Keyword(1) |
universal soutce coding |
Keyword(2) |
redundancy analysis |
Keyword(3) |
singular prior |
Keyword(4) |
Renyi information dimension |
Keyword(5) |
prior estimation |
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Ryosuke Ikarashi |
1st Author's Affiliation |
The University of Electro-Communications (UEC) |
2nd Author's Name |
Tsutomu Kawabata |
2nd Author's Affiliation |
The University of Electro-Communications (UEC) |
3rd Author's Name |
|
3rd Author's Affiliation |
() |
4th Author's Name |
|
4th Author's Affiliation |
() |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2018-03-08 09:50:00 |
Presentation Time |
25 minutes |
Registration for |
IT |
Paper # |
IT2017-105, ISEC2017-93, WBS2017-86 |
Volume (vol) |
vol.117 |
Number (no) |
no.487(IT), no.488(ISEC), no.489(WBS) |
Page |
pp.13-18 |
#Pages |
6 |
Date of Issue |
2018-03-01 (IT, ISEC, WBS) |
|